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Explore the fundamental question of what exact problems quantum computers are designed to solve in many-body quantum system simulation through this 30-minute conference talk. Delve into the theme of thermal simulation as you revisit the origin of physically existing states and discover how to formulate feasible and structured targets for quantum simulation. Examine the theoretical foundations behind quantum thermal states and learn how to approach quantum simulation problems with clear, achievable objectives rather than vague promises about quantum computational advantages.